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Simplifying 3(x + 3) + -2(4 + -1x) = 6 Reorder the terms: 3(3 + x) + -2(4 + -1x) = 6 (3 * 3 + x * 3) + -2(4 + -1x) = 6 (9 + 3x) + -2(4 + -1x) = 6 9 + 3x + (4 * -2 + -1x * -2) = 6 9 + 3x + (-8 + 2x) = 6 Reorder the terms: 9 + -8 + 3x + 2x = 6 Combine like terms: 9 + -8 = 1 1 + 3x + 2x = 6 Combine like terms: 3x + 2x = 5x 1 + 5x = 6 Solving 1 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 6 + -1 5x = 6 + -1 Combine like terms: 6 + -1 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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